Question

"Question 4 Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

Class 9 - Math - Triangles Page 133"

Answer 1

[figures are in the attachment]


First we divide the hexagon into 6 equal lateral triangle of side 5 cm As given figure.

We take One triangle from 6 equilateral Triangles as shown and make as many equilateral Triangles of one side 1 cm as shown in figure ii

The number of equilateral triangle of side 1 cm= 1+3+5+7+9=25

I row (1 ∆)
II row (3∆’s)
III row (5 ∆’s)
IV row (7 ∆’s)
V row (9 ∆’s)

So the total number of triangles in the hexagon= 6×25=150

To find the number of triangles in figure ii ,we apply the same procedure.

So, the number of triangles in figure ii= 12×25= 300

Hence, fig ii has more Triangles.


=========================================

Hope this will help you.....

Answer 2

Answer:

thabk for the answer bro